Neave has a total of 52 of gold and grey notebooks.
14 of the gold notebooks and half of the grey notebooks are new. How many of his grey notebooks are new if he has a total of 14 new notebooks?
| |
Gold notebooks |
Grey notebooks |
Total |
| Total |
4 u |
2 p |
52 |
| New |
1 u |
1 p |
14 |
| Old |
3 u |
1 p |
38 |
Number of old notebooks
= 52 - 14
= 38
1 u + 1 p = 14 --- (1)
3 u + 1 p = 38 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 38 - 14
3 u - 1 u = 24
2 u = 24
1 u = 24 ÷ 2 = 12
Number of new grey notebooks
= 14 - 1 u
= 14 - 12
= 2
Answer(s): 2
